Coulomb excitation of nuclei
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11—20 of 62 matching pages
11: 33.13 Complex Variable and Parameters
§33.13 Complex Variable and Parameters
►The functions , , and may be extended to noninteger values of by generalizing , and supplementing (33.6.5) by a formula derived from (33.2.8) with expanded via (13.2.42). … ►The quantities , , and , given by (33.2.6), (33.2.10), and (33.4.1), respectively, must be defined consistently so that ►
33.13.1
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33.13.2
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12: 33.14 Definitions and Basic Properties
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§33.14(i) Coulomb Wave Equation
… ►§33.14(ii) Regular Solution
… ►§33.14(iii) Irregular Solution
… ►§33.14(iv) Solutions and
… ►§33.14(v) Wronskians
…13: 33.5 Limiting Forms for Small , Small , or Large
14: 33.23 Methods of Computation
§33.23 Methods of Computation
… ►The methods used for computing the Coulomb functions described below are similar to those in §13.29. … ►Combined with the Wronskians (33.2.12), the values of , , and their derivatives can be extracted. … ►§33.23(vii) WKBJ Approximations
… ►Hull and Breit (1959) and Barnett (1981b) give WKBJ approximations for and in the region inside the turning point: .15: 33.8 Continued Fractions
16: 33.16 Connection Formulas
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§33.16(i) and in Terms of and
… ►§33.16(ii) and in Terms of and when
… ►§33.16(iii) and in Terms of when
… ►§33.16(iv) and in Terms of and when
… ►§33.16(v) and in Terms of when
…17: 33.25 Approximations
§33.25 Approximations
►Cody and Hillstrom (1970) provides rational approximations of the phase shift (see (33.2.10)) for the ranges , , and . …18: 33.10 Limiting Forms for Large or Large
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►where is defined by (33.2.9).
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